One spring, Mr. Gambrill felt as if he needed to mow his lawn particularly often. So after a mowing, he measured the height of his grass. He continued to measure it each day until the next mowing. The equation below represents the relationship between time, x, in days and height of the grass, y, in centimeters. What was the rate of change for the growth of Mr. Grambrill's grass?

y equals six plus one point five

1.5 cm/day

4 cm/day

4.5 cm/day

6 cm/day

Question

One spring, Mr. Gambrill felt as if he needed to mow his lawn particularly often. So after a mowing, he measured the height of his grass. He continued to measure it each day until the next mowing. The equation below represents the relationship between time, x, in days and height of the grass, y, in centimeters. What was the rate of change for the growth of Mr. Grambrill's grass?

y equals six plus one point five

1.5 cm/day

4 cm/day

4.5 cm/day

6 cm/day

anonymous · Answer

Do you mean
$$y = 6x + 1.5$$
The rate of change is just the slope. In an equation of the form $y = mx + b$ the slope is given by m.
(You can also take the derivative, but this might be overkill.)